Timeline for Set of w*-continuous operators closed for the weak* topology or not?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 9, 2020 at 6:58 | answer | added | Robert Furber | timeline score: 5 | |
| Jan 5, 2020 at 17:06 | comment | added | Frederik vom Ende | Interestingly enough for the more general case of $B(X^*,Y^*)$ (i.e. for two different dual Banach spaces) the answer to this question in general is no, cf. this counterexample by Jochen Glück. Of course this does not settle the special case $X=Y$ OP asked about---but it might give some further intuition for this problem. | |
| Sep 6, 2016 at 3:12 | history | edited | Yemon Choi |
this is an FA question not a GN question
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| Jun 16, 2016 at 2:06 | comment | added | Yemon Choi | Also, I don't think your description of the weak-star topology on B(X) is quite right, unless X is Hilbert space. The predual of B(X) is $X\hat{\otimes} X_*$; what you describe seems to be more like the weak-star version of WOT | |
| Jun 16, 2016 at 2:04 | comment | added | Yemon Choi | Note that $B_{w^*}(X) = \{ T^* \colon T \in B(X_*)\}$ which makes me suspect the answer to your question is no | |
| Jun 15, 2016 at 20:54 | history | asked | user64615 | CC BY-SA 3.0 |